搜索结果: 1-15 共查到“泛函分析 o.d.e. systems”相关记录23条 . 查询时间(0.187 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Functions of bounded variation and nonlocal functionals
有界 变差函数 非局部泛函
2023/11/29
In the past two decades, starting with the pioneering work of Bourgain, Brezis, and Mironescu, there has been widespread interest in characterizing Sobolev and BV (bounded variation) functions by mean...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Introduction to Bourguignon-Gauduchon's variation formula for Dirac operators
Dirac算子 Bourguignon-Gauduchon 变分公式
2023/11/13
我们将介绍由Bar-Gauduchon-Moroianu给出的spin流形上Dirac算子在度量变化时一阶变分公式的证明。作为应用，我们将计算Dirac算子沿Ricci flow的一阶变分。
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Filtrations and endomorphisms
过滤 自同态 Banach--Colmez spaces
2023/4/23
This is a periodic series learning seminar organized by Koji Shimizu and Shizhang Li on Banach--Colmez spaces held on each Monday at MCM110. More info can be found on the website.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Applications of sublinear expanders
次线性 膨胀机 亚线性膨胀器
2023/4/23
We will introduce the sublinear expander and cover some applications of sublinear expander. Given a graph H, a balanced subdivision of H is a graph obtained from H by subdividing every edge the same n...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Exponential decay of intersection volume and applications
交叉体积 指数衰减 公制空间
2023/4/23
When two balls in a metric space have small intersection? We give some natural conditions to guarantee an exponential decay on the volume of such intersections. Our proof is conceptually simple, makin...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Functional-Input Gaussian Processes
泛函 输入 高斯过程
2023/4/25
Surrogate modeling based on Gaussian processes (GPs) has received increasing attention in the analysis of complex problems in science and engineering. Despite extensive studies on GP modeling, the dev...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：ENERGY, POINTWISE, AND FREE BOUNDARY APPROXIMATION OF THE OBSTACLE PROBLEM FOR NONLOCAL OPERATORS
非局部 算子障碍物 自由边界 近似
2023/4/28
We consider the obstacle problem for a nonlocal elliptic operator, like the integral fractional Laplacian of order $s \in (0,1)$. We derive regularity results in weighted Sobolev spaces, where the wei...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Banach--Colmez spaces
巴拿赫-科尔梅斯空间 黑匣子 [LB18， §2]
2023/5/8
Explain [LB18, §2]. Then state [LB18, Thm 4.1] and prove some of the cases, using [LB18, §3] as a black box.
On Titchmarsh-Weyl functions of first-order symmetric systems with arbitrary deficiency indices
First-order symmetric system decomposing boundary triplet Nevanlinna boundary conditions m-function
2012/6/19
We study general (not necessarily Hamiltonian) first-order symmetric systems $J y'(t)-B(t)y(t)=\D(t) f(t)$ on an interval $[a,b> $ with the regular endpoint $a$. The deficiency indices $n_\pm$ of the ...
Weak Markov Processes as Linear Systems
multi-variable system weakMarkov process cascade observability asymptotic completeness
2012/6/15
A noncommutative Fornasini-Marchesini system (a multi-variable version of a linear system) can be realized within a weak Markov process (a model for quantum evolution). For a discrete time parameter t...
Cuntz-Pimsner algebras for subproduct systems
Cuntz-Pimsner algebras subproduct systems Operator Algebras
2011/9/6
Abstract: In this paper we generalize the notion of Cuntz-Pimsner algebras of $C^*$-correspondences to the setting of subproduct systems. The construction is justified in several ways, including the M...
Abstract: Some recent research on the tensor products of operator systems and ensuing nuclearity properties in this setting raised many stability problems. In this paper we examine the preservation of...
Simply-laced isomonodromy systems
Simply-laced isomonodromy systems Classical Analysis and ODEs Symplectic Geometry
2011/8/25
Abstract: A new class of isomonodromy equations will be introduced and shown to admit Kac-Moody Weyl group symmetries. This puts into a general context some results of Okamoto on the 4th, 5th and 6th ...
Fidelity of states in infinite dimensional quantum systems
Quantum states fidelity entanglement fidelity
2011/9/29
Abstract: In this paper we discuss the fidelity of states in infinite dimensional systems, give an elementary proof of the infinite dimensional version of Uhlmann's theorem, and then, apply it to gene...
Systems of dyadic cubes in a doubling metric space
Space of homogeneous type dyadic cube random geometric construction
2011/1/20
A number of recent results in Euclidean Harmonic Analysis have exploited several adjacent systems of dyadic cubes, instead of just one fixed system. In this paper, we extend such constructions to gene...